Understanding the behavior and the dynamics of natural phenomena stand to be worth fundamental. That is why it has been one of the most challenging aspects of modern science and technology in studying nonlinear nature of system. The importance of nonlinearity has been well-appreciated for many years, because nonlinearity is a fascinating occurrence of nature in the context of large amplitude waves or high-intensity laser pulses observed in various fields. This fascinating subject has branched out in almost all areas of science, and its applications are percolating through the whole science. In general, nonlinear evolution equations exhibiting a wide range of high complexities in terms of different linear and nonlinear effects model nonlinear phenomena. Nonlinear science has experienced an explosive growth by the invention of several exciting and fascinating new concepts in the past few decades, such as solitons, dispersion-managed solitons, dromions, rogue waves, among others [1]}, [2]}, [3]}, [4]}.
